Perpendicular Bisector

Definition

• A perpendicular bisector is a line that divides a line segment into two equal parts at a 90-degree angle.

Key Components

• Green Line: Represents the perpendicular bisector.
• Labeling:
  • Side A
  • Side B
  • Intersecting Point C

Properties

• Intersection:
  • The line intersects the line segment at 90 degrees (perpendicular).
• Angles:
  • Angles OCA and OCB are both 90 degrees.
• Division of Line Segment:
  • The segment is divided into two equal parts:
    • AC: one part
    • CB: the other equal part

Conclusion

• A perpendicular bisector is essential in geometry for creating equal segments of a line and demonstrating the concept of perpendicular lines.